(m-1)(4m-2)=0

Solution for (m-1)(4m-2)=0 equation:

Simplifying
(m + -1)(4m + -2) = 0

Reorder the terms:
(-1 + m)(4m + -2) = 0

Reorder the terms:
(-1 + m)(-2 + 4m) = 0

Multiply (-1 + m) * (-2 + 4m)
(-1(-2 + 4m) + m(-2 + 4m)) = 0
((-2 * -1 + 4m * -1) + m(-2 + 4m)) = 0
((2 + -4m) + m(-2 + 4m)) = 0
(2 + -4m + (-2 * m + 4m * m)) = 0
(2 + -4m + (-2m + 4m2)) = 0

Combine like terms: -4m + -2m = -6m
(2 + -6m + 4m2) = 0

Solving
2 + -6m + 4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -3m + 2m2) = 0

Factor a trinomial.
2((1 + -2m)(1 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -2m)' equal to zero and attempt to solve:

Simplifying
1 + -2m = 0

Solving
1 + -2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0.5, 1}